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Finding the Fourth Proportional to 30,884, 46,298.28 and 11,157.94

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Solution

The fourth proportional to 30,884, 46,298.28 and 11,157.94 is: 16,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884 : 46,298.28 = 11,157.94 : x
  2. Step 2: Convert to fraction form
    30,884/46,298.28 = 11,157.94/x
  3. Step 3: Cross multiply
    30,884x = 46,298.28 × 11,157.94
  4. Step 4: Simplify right side
    30,884x = 516,593,430.34
  5. Step 5: Solve for x
    x = 516,593,430.34/30,884
  6. Step 6: Final answer
    x = 16,726.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.